A Note on Rabin's Nearest-Neighbor Algorithm

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Author

Fortune, Steven; Hopcroft, John E.

Abstract

Rabin has proposed a probabilistic algorithm for finding the closest pair of a set of points in Euclidean space. His algorithm is asymtomatically linear whereas the best of the known deterministic algorithms take order $n \log n$ time. We show that at least part of the speed up is due to the model rather than the probabilistic nature of the algorithm.